Hi Aman, 

Thanks for contacting careers 360. 

Below is the list of the colleges best in the automobile engineering field.

Madras Institute of Technology, Chennai.

PSG College of Technology, Coimbatore.

SCMS School of Engineering and Technology (SSET), Cochin.

Veermata Jijabai Technological Institute (VJTI), Mumbai.

SRM University, Chennai

Incase of any more queries, feel free to ask.

Hello Aspirant
I will provide as per last year census it means as per 2018 census:
Madras Institute of Technology, Chennai.
PSG college of Technology, Coimbatore.
SCMS School of engineering and Technology (SSET), Cochin.
Veermata Jijabai Technological Institute (VJTI), Mumbai.
SRM University, Chennai.
MIT world peace engineering, Pune
Manipal institute of technology, Manipal
NIT Warangal
Lovely professional university, phagwara
Sastra university, Thanjavur
Christ university, Bangalore

I will provide the link below from our career 360 to know the other colleges:

https://engineering.careers360.com/colleges/list-of-automobile-engineering-colleges-in-india

If you have any questions further let me know.
Thank you!!!!